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Classical universes of the no-boundary quantum state
Hartle J.B., Hawking S.W., Hertog T.
Physical Review D 77 (2008) 123537 - http://hal.in2p3.fr/in2p3-00274373
Physique/Astrophysique/Cosmologie et astrophysique extra-galactique
Planète et Univers/Astrophysique/Cosmologie et astrophysique extra-galactique
Physique/Relativité Générale et Cosmologie Quantique
Physique/Physique des Hautes Energies - Théorie
Planète et Univers/Astrophysique
Classical universes of the no-boundary quantum state
J.B. Hartle1, S.W. Hawking2, T. Hertog3, 4
1 :  Departement of Physics, University of California
Universite de Californie
Santa Barbara, 93106
2 :  DAMTP/CMS - Department of Applied Mathematics and Theoretical Physics / Centre for Mathematical Sciences
Université de Cambridge
DAMTP, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA
3 :  APC - UMR 7164 - AstroParticule et Cosmologie
CNRS : UMR7164 – IN2P3 – Observatoire de Paris – Université Paris VII - Paris Diderot – CEA : DSM/IRFU
APC - UMR 7164, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, case postale 7020, F-75205 Paris Cedex 13
4 :  International Solvay Institutes
International Solvay Institutes
Boulevard du Triomphe ULB-C.P.231, B-1050 Brussels
We analyze the origin of the quasiclassical realm from the no-boundary proposal for the universe's quantum state in a class of minisuperspace models. The models assume homogeneous, isotropic, closed spacetime geometries, a single scalar field moving in a quadratic potential, and a fundamental cosmological constant. The allowed classical histories and their probabilities are calculated to leading semiclassical order. We find that for the most realistic range of parameters analyzed a minimum amount of scalar field is required, if there is any at all, in order for the universe to behave classically at late times. If the classical late time histories are extended back, they may be singular or bounce at a finite radius. The ensemble of classical histories is time symmetric although individual histories are generally not. The no-boundary proposal selects inflationary histories, but the measure on the classical solutions it provides is heavily biased towards small amounts of inflation. However, the probability for a large number of efoldings is enhanced by the volume factor needed to obtain the probability for what we observe in our past light cone, given our present age. Our results emphasize that it is the quantum state of the universe that determines whether or not it exhibits a quasiclassical realm and what histories are possible or probable within that realm.

Articles dans des revues avec comité de lecture
Physical Review D (Phys. Rev. D)
Publisher American Physical Society
ISSN 1550-7998 (eISSN : 1550-2368)

46 pages, 24 figures, revtex4
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